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We study the properties of soliton solutions in an analog of the Skyrme modelin 2+1 dimensions whose Lagrangian contains the Skyrme term and the mass term,but no usual kinetic term. The model admits a symmetry under area preservingdiffeomorphisms. We solve the dynamical equations of motion analytically forthe case of spinning isolated baryon type solitons. We take fully into accountthe induced deformation of the spinning Skyrmions and the consequentmodification of its moment of inertia to give an analytical example of relatednumerical behaviour found by Piette et al.. We solve the equations of motionalso for the case of an infinite, open string, and a closed annular string. Ineach case, the solitons are of finite extent, so called "compactons", beingexactly the vacuum outside a compact region. We end with indications on thescattering of baby-Skyrmions, as well as some considerations as the propertiesof solitons on a curved space.Comment: 30 pages, 5 figures, revtex, major modifications, conclusions  modifie

Solitons in a baby-Skyrme model with invariance under area-preserving diffeomorphisms